摘要

A novel approach for designing the feedback control based on past states is proposed for hybrid stochastic differential equations (SDEs). This new theorem builds up the connection between the delay feedback control and the control function without delay terms, which enables one to construct the delay feedback control using the existing results on stabilities of hybrid SDEs. Methods for finding the upper bound of the length of the time delay are also investigated. Numerical simulations are presented to demonstrate the new theorem.